mptensor::matrix_interface Namespace Reference

Nameclass for Matrix inteface. More...

Classes
class	Matrix
	Inteface of Matrix class. More...

Functions
template<typename C >
void	replace_matrix_data (const Matrix< C > &M, const std::vector< int > &dest_rank, const std::vector< size_t > &local_position, Matrix< C > &M_new)
template<typename C >
void	replace_matrix_data (const std::vector< C > &V, const std::vector< int > &dest_rank, const std::vector< size_t > &local_position, Matrix< C > &M_new)
template<typename C >
void	sum_matrix_data (const Matrix< C > &M, const std::vector< int > &dest_rank, const std::vector< size_t > &local_position, Matrix< C > &M_new)
template<typename C >
C	matrix_trace (const Matrix< C > &a)
template<typename C >
void	matrix_product (const Matrix< C > &a, const Matrix< C > &b, Matrix< C > &c)
template<typename C >
int	matrix_svd (Matrix< C > &a, Matrix< C > &u, std::vector< double > &s, Matrix< C > &v)
template<typename C >
int	matrix_svd (Matrix< C > &a, std::vector< double > &s)
template<typename C >
int	matrix_qr (Matrix< C > &a, Matrix< C > &r)
template<typename C >
int	matrix_eigh (Matrix< C > &a, std::vector< double > &s, Matrix< C > &u)
template<typename C >
int	matrix_eigh (Matrix< C > &a, std::vector< double > &s)
	Eigenvalues of a hermite (symmetric) matrix.
template<typename C >
int	matrix_eigh (Matrix< C > &a, Matrix< C > &b, std::vector< double > &s, Matrix< C > &u)
template<typename C >
int	matrix_eig (Matrix< C > &a, std::vector< complex > &s, Matrix< complex > &u)
template<typename C >
int	matrix_eig (Matrix< C > &a, std::vector< complex > &s)
template<typename C >
int	matrix_solve (Matrix< C > &a, Matrix< C > &b)
	Solve linear equation \( AX=B\).
template<typename C >
double	max (const Matrix< C > &a)
	Return the maximum element.
template<typename C >
double	min (const Matrix< C > &a)
	Return the minimum element.
template<typename C >
double	max_abs (const Matrix< C > &a)
	Return the maximum of the absolute value of elements.
template<typename C >
double	min_abs (const Matrix< C > &a)
	Return the minimum of the absolute value of elements.

Detailed Description

Nameclass for Matrix inteface.

The list of member functions and non-member functions, which should be implemented in a Matrix class.

Function Documentation

matrix_eig() [1/2]

template<typename C >

int mptensor::matrix_interface::matrix_eig	(	Matrix< C > &	a,
		std::vector< complex > &	s
	)

matrix_eig() [2/2]

template<typename C >

int mptensor::matrix_interface::matrix_eig	(	Matrix< C > &	a,
		std::vector< complex > &	s,
		Matrix< complex > &	u
	)

matrix_eigh() [1/3]

template<typename C >

int mptensor::matrix_interface::matrix_eigh	(	Matrix< C > &	a,
		Matrix< C > &	b,
		std::vector< double > &	s,
		Matrix< C > &	u
	)

matrix_eigh() [2/3]

template<typename C >

int matrix_eigh	(	Matrix< C > &	a,
		std::vector< double > &	s
	)

Eigenvalues of a hermite (symmetric) matrix.

Parameters

[in]	a	The hermite or symmetric matrix. On exit, it may be destroyed.
[out]	s	The eigenvalues in ascending order.

Returns

information from the library.

matrix_eigh() [3/3]

template<typename C >

int mptensor::matrix_interface::matrix_eigh	(	Matrix< C > &	a,
		std::vector< double > &	s,
		Matrix< C > &	u
	)

matrix_product()

template<typename C >

void mptensor::matrix_interface::matrix_product	(	const Matrix< C > &	a,
		const Matrix< C > &	b,
		Matrix< C > &	c
	)

matrix_qr()

template<typename C >

int mptensor::matrix_interface::matrix_qr	(	Matrix< C > &	a,
		Matrix< C > &	r
	)

matrix_solve()

template<typename C >

int mptensor::matrix_interface::matrix_solve	(	Matrix< C > &	a,
		Matrix< C > &	b
	)

Solve linear equation \( AX=B\).

Parameters

[in]	a	The \( N\times N\) coefficient matrix A. On exit, it may be destroyed.
[in,out]	b	On entry, the \( N\times K\) right-hand side matrix B. On exit, the \( N\times K\) solution matrix X.

Returns

information from the library.

matrix_svd() [1/2]

template<typename C >

int mptensor::matrix_interface::matrix_svd	(	Matrix< C > &	a,
		Matrix< C > &	u,
		std::vector< double > &	s,
		Matrix< C > &	v
	)

matrix_svd() [2/2]

template<typename C >

int mptensor::matrix_interface::matrix_svd	(	Matrix< C > &	a,
		std::vector< double > &	s
	)

matrix_trace()

template<typename C >

C mptensor::matrix_interface::matrix_trace

(

const Matrix< C > &

a

)

max()

template<typename C >

double mptensor::matrix_interface::max

(

const Matrix< C > &

a

)

Return the maximum element.

For complex-valued matrix, this function is the same as max_abs();

Parameters

[in]

a

A matrix

Returns

The maximum value in all elements. It's a global scalar.

max_abs()

template<typename C >

double mptensor::matrix_interface::max_abs

(

const Matrix< C > &

a

)

Return the maximum of the absolute value of elements.

Parameters

[in]

a

A matrix

Returns

The maximum of the absolute value of elements. It's a global scalar.

min()

template<typename C >

double mptensor::matrix_interface::min

(

const Matrix< C > &

a

)

Return the minimum element.

For complex-valued matrix, this function is the same as min_abs();

Parameters

[in]

a

A matrix

Returns

The minimum value in all elements. It's a global scalar.

min_abs()

template<typename C >

double mptensor::matrix_interface::min_abs

(

const Matrix< C > &

a

)

Return the minimum of the absolute value of elements.

Parameters

[in]

a

A matrix

Returns

The minimum of the absolute value of elements. It's a global scalar.

replace_matrix_data() [1/2]

template<typename C >

void mptensor::matrix_interface::replace_matrix_data	(	const Matrix< C > &	M,
		const std::vector< int > &	dest_rank,
		const std::vector< size_t > &	local_position,
		Matrix< C > &	M_new
	)

replace_matrix_data() [2/2]

template<typename C >

void mptensor::matrix_interface::replace_matrix_data	(	const std::vector< C > &	V,
		const std::vector< int > &	dest_rank,
		const std::vector< size_t > &	local_position,
		Matrix< C > &	M_new
	)

sum_matrix_data()

template<typename C >

void mptensor::matrix_interface::sum_matrix_data	(	const Matrix< C > &	M,
		const std::vector< int > &	dest_rank,
		const std::vector< size_t > &	local_position,
		Matrix< C > &	M_new
	)